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Finding the Fourth Proportional to 37,706.65, 56,553.75 and 12,746.12

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Solution

The fourth proportional to 37,706.65, 56,553.75 and 12,746.12 is: 19,117.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,706.65 : 56,553.75 = 12,746.12 : x
  2. Step 2: Convert to fraction form
    37,706.65/56,553.75 = 12,746.12/x
  3. Step 3: Cross multiply
    37,706.65x = 56,553.75 × 12,746.12
  4. Step 4: Simplify right side
    37,706.65x = 720,840,601.18
  5. Step 5: Solve for x
    x = 720,840,601.18/37,706.65
  6. Step 6: Final answer
    x = 19,117.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.